-2x^2-7=-9x

Solution for -2x^2-7=-9x equation:

-2x^2-7=-9x

We move all terms to the left:

-2x^2-7-(-9x)=0

We get rid of parentheses

-2x^2+9x-7=0

a = -2; b = 9; c = -7;
Δ = b2-4ac
Δ = 92-4·(-2)·(-7)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-5}{2*-2}=\frac{-14}{-4}
=3+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+5}{2*-2}=\frac{-4}{-4}
=1
$